PRP Records

Probable Primes Top 10000

(218736 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 30000) Who ? When ?
6001300^30247+30247^30074926Norbert Schneider11/2014
60022^248866-17174917Lelio R Paula03/2012
60036*5^107168-774908Lelio R Paula10/2014
600411^71926+7874904Lelio R Paula02/2015
60052^248824+186939174904Enzo Doria05/2016
60062^248816+111174902Lelio R Paula01/2011
6007V(388219)74890Serge Batalov03/2015
60082*F(358297)-174880Henri Lifchitz12/2009
6009(22*10^74874-31)/974875Robert Price04/2015
601011^71892-7680000074868Enzo Doria01/2013
60119*5^107107-474866Lelio R Paula10/2014
60122^248678-71011174860Paul Bourdelais03/2013
6013(14*10^74858+211)/974859Robert Price11/2017
601413^67194+1274851Lelio R Paula01/2015
6015(7*2^248634+1)/7174846Lelio R Paula08/2012
601611^71867-309074842Enzo Doria12/2012
60172^248609+26214574839Lelio R Paula05/2013
60183^156852+5074838Lelio R Paula01/2015
601918^59607-1174824Lelio R Paula01/2015
60202^248556-11050774823Enzo Doria05/2014
60217^88531-3674818Lelio R Paula01/2015
6022p(15738)#/2+102474814Robert Price07/2017
60234*3^156740-574785Lelio R Paula05/2014
6024(32*10^74773-41)/974774Robert Price05/2015
6025(29*2^248384-1)/1374772Lelio R Paula01/2014
602619401!+19401#+174765D. Gazzoni Filho & Lucas Teixeira06/2005
60272^248357-1279741374763Enzo Doria03/2016
602842^46057+4174762Lelio R Paula07/2012
602911^71784-300074756Enzo Doria12/2012
603019^58458+1874754Lelio R Paula01/2015
603112^69265-3574750Lelio R Paula02/2015
603211^71771-4800074742Enzo Doria12/2012
6033(7*10^74741+197)/374742Robert Price07/2017
6034(2^248282-5)/5012974736Lelio R Paula06/2012
60352^248252-11010574732Enzo Doria04/2014
6036(7*10^74729+71)/374730Robert Price03/2016
60373^156614-5074724Lelio R Paula01/2015
6038(7*2^248213+1)/13574719Lelio R Paula07/2012
6039(2^248173+78557)/76774705Lelio R Paula07/2012
6040125^35622+12474697Norbert Schneider02/2015
6041(19*2^248099-1)/2974686Lelio R Paula01/2014
6042(86*10^74676-41)/974677Robert Price11/2015
6043(p(15711)#-4)/274672Robert Price09/2017
604410^74670+3174671Robert Price01/2011
604510^74670-12246374670Patrick De Geest05/2013
60462^248036-6974667Lelio R Paula03/2012
604711^71698-600074666Enzo Doria12/2012
604858*(10^(3*24887)-1)/111-174661Robert Price10/2014
604914^65139-4574658Lelio R Paula01/2015
60506^95921-13374642Lelio R Paula01/2015
605111^71675+7874642Lelio R Paula02/2015
605218^59449-9174625Lelio R Paula01/2015
60536^95864-1604374597Enzo Doria02/2013
60545*7^88261+674590Lelio R Paula10/2014
60559*5^106710+474589Lelio R Paula10/2014
6056(777*2^247788+1)/(11*754121)74588Jens K. Andersen09/2007
6057(265*10^74579+17)/374581Robert Price05/2016
6058(2^247759-1017)/331831171774574Lelio R Paula07/2012
60595^106682-2474568Lelio R Paula08/2014
6060474^27863+27863^47474556Norbert Schneider01/2017
6061(14*10^74540+79)/374541Robert Price11/2017
6062(35365^16384+1)/274524Lelio R Paula11/2011
60633^156161+266074508Lelio R Paula01/2015
60642^247474-5869574498Lelio R Paula05/2013
606511^71519-9074480Enzo Doria07/2012
6066(19*2^247419-1)/2320298374475Lelio R Paula01/2014
6068(2^247394-7)/374473Lelio R Paula06/2012
606718^59328+1774473Lelio R Paula01/2015
60692^247379-18174469Lelio R Paula03/2012
6070(15*2^247370-1)/47974465Lelio R Paula01/2014
60712^247344+204774458Lelio R Paula05/2013
60722^247311-101774449Lelio R Paula05/2013
60732^247280+774439Lelio R Paula03/2012
6074(68*10^74434+13)/974435Ray Chandler11/2010
60753^156004-6274433Lelio R Paula01/2015
607636095!2-6474416Robert Price06/2015
60772^247165-374405M. Frind & P. Underwood07/2002
60782^247150+3276974400Lelio R Paula05/2013
607912^68911+7374368Lelio R Paula01/2015
60802^246999+7490374355Enzo Doria04/2016
60812^246989-11064374352Enzo Doria05/2014
608210^74350+27943974351Patrick De Geest07/2017
6085(10^74350+11)/374350Robert Price11/2014
608310^74350-40000000174350Robert Price07/2017
608410^74350-71624174350Patrick De Geest07/2017
608610^74335+1365974336Patrick De Geest05/2013
608710^74335-5374335Robert Price05/2011
60882^246906-121574327Lelio R Paula05/2013
60892^246848+11174309Lelio R Paula03/2012
60906^95490-1844374306Enzo Doria03/2013
609118^59188-236974298Enzo Doria03/2013
6092(1363*2^246767+1)/(3*5*7*13^2*743)74281Jens K. Andersen09/2007
60932^246744+4075574278Lelio R Paula05/2013
6094(29*10^74276+91)/374277Robert Price03/2016
60956^95441+16374268Lelio R Paula01/2015
6096V(390863)74258Serge Batalov03/2015
609710^74254+9174255Robert Price03/2011
6099(19*10^74253-1)/974254Ray Chandler02/2012
609810^74254-13056974254Patrick De Geest05/2013
6100771^25718+25718^77174250Norbert Schneider10/2016
61012^246618+42774240Henri Lifchitz02/2005
610288*10^74234+374236Robert Price11/2016
61038*10^74234-4974235Robert Price04/2016
61042^246578+1228574228Lelio R Paula05/2013
6105(3^155569-5)/274225Lelio R Paula06/2012
610613^66628+4674220Lelio R Paula01/2015
61072^246476-1729574197Lelio R Paula05/2013
6108(61*10^74189-1)/374191Robert Price11/2017
6109(15185*2^246432-1)/1374187Lelio R Paula04/2015
61105*2^246413-374179Lelio R Paula05/2014
61112^246386-2863574170Lelio R Paula05/2013
61122^246334-11124574154Enzo Doria05/2014
61133*9^77708+7^77708-2*4^77708-374153Mike Oakes12/2010
611415^63045+8274147Lelio R Paula01/2015
611519255!+19255#+174140D. Gazzoni Filho & Lucas Teixeira06/2005
61162^246268-11050774135Enzo Doria05/2014
61173^155328+266074111Lelio R Paula01/2015
61182^246148-278624974098Enzo Doria03/2016
6119(16*10^74092-19)/374093Robert Price03/2016
61202^246115-11076774088Enzo Doria05/2014
61217^87666-6874087Lelio R Paula08/2014
612210^74079+114514191974080Marisa Kirisame03/2015
612310^74079+621974080Patrick De Geest03/2016
612410^74079-28270774079Patrick De Geest03/2016
6125129^35098+274078Lelio R Paula05/2013
61262^246025-11212374061Enzo Doria06/2014
6127(67*10^74045+17)/374047Robert Price02/2017
61282^245823+6683174001Marek Hubal02/2017
61295^105869+4274000Lelio R Paula08/2014
6130(21*2^245806+1)/63455573991Lelio R Paula08/2012
6131(22699*2^245762+1)/11973985Lelio R Paula06/2014
6132(3^155048-7)/26273975Lelio R Paula06/2012
61339998*2^245696+373966Donovan Johnson10/2004
613413^66400-8073966Lelio R Paula01/2015
6135(2^245704+9)/2573963Lelio R Paula07/2012
613711^71023-717073963Enzo Doria01/2013
61363*10^73962+1373963Robert Price08/2017
6138(31*2^245660-1)/11419573948Lelio R Paula01/2014
61392^245629-279781373942Eric Chen03/2016
61402^245557-15373921Lelio R Paula03/2012
6141(77*10^73917-59)/973918Robert Price11/2017
61422^245525+186988173911Enzo Doria06/2016
61432^245522+15973910Lelio R Paula03/2012
6144(13*10^73891-43)/373892Robert Price08/2017
614519^57783-5673891Lelio R Paula01/2015
61467*10^73888+7973889Robert Price02/2017
61476^94948+17428173884Mike Oakes02/2011
614811^70939-486073876Enzo Doria01/2013
61492^245372+5461573865Lelio R Paula05/2013
61502^245362-14373862Lelio R Paula03/2012
61517^87396+6^(87396-1)73859Robert Price03/2016
6152(22*10^73853-37)/373854Robert Price05/2017
61535^105646-1424673844Enzo Doria02/2013
61552^245290-4173840Lelio R Paula03/2012
61542^245290-9439573840Lelio R Paula05/2013
61568*5^105600-773813Lelio R Paula10/2014
61577*5^105573-473794Lelio R Paula10/2014
615818^58742-480573738Enzo Doria03/2013
615913^66179+6673720Lelio R Paula01/2015
6160(82*10^73714-1)/973715Robert Price12/2014
6161(29*2^244856-1)/18612173706Lelio R Paula01/2014
6162(13*2^244840-1)/279973702Lelio R Paula01/2014
6163(13*10^73701+17)/373702Robert Price06/2015
6164(2^244787-1017)/2841173684Lelio R Paula07/2012
6165(3^154421-4)/2373677Lelio R Paula06/2012
61668*7^87170+573669Lelio R Paula10/2014
6167(29*10^73659-113)/373660Robert Price11/2017
6168Phi(40100,-40100)73651Henri Lifchitz06/2013
6169(4*10^73647-19)/373648Robert Price06/2017
61702^244618-229773638Yves Minet10/2009
61713*5^105344+873633Lelio R Paula10/2014
61725^105334-1409673626Enzo Doria02/2013
6173(2^244584-7)/1323707424303373614Lelio R Paula07/2012
61742^244465-11018573592Enzo Doria05/2014
61752^244443+4075573585Lelio R Paula05/2013
61762^244404+384173573Yves Minet03/2011
61772^244372-11062773564Enzo Doria05/2014
6178(3*2^244255+1)/24573527Lelio R Paula08/2012
6179(11*2^244245+1)/2373525Lelio R Paula08/2012
6180(15185*2^244187-1)/611173509Lelio R Paula04/2015
6181(91^37507+1)/9273476Paul Bourdelais08/2017
618218^58521+6573460Lelio R Paula01/2015
618313^65940+3673454Lelio R Paula01/2015
6184(625^26267+1)/62673437Richard Fischer12/2017
61855^105050-1473427Lelio R Paula08/2014
6186(((((((((((((30201^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-273401Serge Batalov07/2016
618715^62410-4673400Lelio R Paula01/2015
61882^243733+186970773371Enzo Doria05/2016
618911^70439-543073355Enzo Doria01/2013
61902^243676-8773354Lelio R Paula03/2012
6191(101*10^73346-17)/373348Robert Price08/2016
61922^243621-11318573338Enzo Doria07/2014
6193(5*2^243610-1)/166973332Lelio R Paula01/2014
61942*5^104888-773314Lelio R Paula10/2014
6195(58695*2^243516-1)/98373308Lelio R Paula04/2015
6196(3^153648-2)/3342313809773299Lelio R Paula06/2012
619718^58376-525573278Enzo Doria03/2013
619811^70363+3273276Lelio R Paula02/2015
61992^243413+425773275Lelio R Paula05/2013
6200104824^5+5^10482473269Andrey Kulsha07/2010
62017^86689-6^8668973261Predrag Minovic09/2004
62022^243296+9019573240Lelio R Paula05/2013
6204p(15433)#/2-473218Robert Price12/2016
6203(59*10^73217-77)/973218Robert Price11/2017
62052^243127+7135573189Lelio R Paula05/2013
62062^243116-24941973186Paul Bourdelais03/2013
6207(58695*2^243085-1)/1173180Lelio R Paula04/2015
620811^70262-9873171Lelio R Paula02/2015
6209(2^243034+47)/72270330373152Lelio R Paula07/2012
6210(2^242966+47)/4688773136Lelio R Paula07/2012
6211(43^44773-1)/4273134Robert Price04/2014
62126^93980-15835973131Mike Oakes02/2011
62136^93915+5373081Lelio R Paula01/2015
6214(5*10^73079+211)/973079Robert Price12/2017
6215(74*10^73076+43)/973077Robert Price10/2015
6216(3^153125+2)/114495573054Lelio R Paula06/2012
62172^242632-11219973040Enzo Doria06/2014
6218V(351646)73029Serge Batalov03/2015
621918^58175-8573026Lelio R Paula01/2015
6220p(15395)#/2-473019Robert Price12/2016
6221(4^121271+3^121271)/773012Jean-Louis Charton03/2011
62228*6^93825-573011Lelio R Paula10/2014
6224(F(220)^1601-F(219)^1601)/F(218)73005Wayne Halsdorf08/2013
6223(73^39181+1)/7473005Paul Bourdelais08/2017
62256^93815+14373003Lelio R Paula01/2015
62266^93812+573000Wojciech Florek03/2006
622719^57078-6272989Lelio R Paula01/2015
6228(29*10^72985+91)/372986Robert Price03/2016
622911^70082-252072983Enzo Doria12/2012
62306^93773+13372970Lelio R Paula01/2015
62312^242328-5972948Lelio R Paula03/2012
62325^104358-1301672944Enzo Doria02/2013
6233(75*10^72941-57)/9972941Ray Chandler03/2011
623412^67585-9572937Lelio R Paula02/2015
62352^242230-11328572919Enzo Doria07/2014
6236(5*10^72916-11)/372917Erik Branger12/2013
62372^242220-11039972916Enzo Doria05/2014
62382^242205-11341372911Enzo Doria07/2014
6239(3^152809+3^76405+1)/772908Serge Batalov03/2014
62402^242175+7424372902Yves Minet03/2011
62412^242150+1765972895Lelio R Paula11/2009
624211^69982-234072879Enzo Doria12/2012
6243(23*2^242093+1)/1011772875Lelio R Paula08/2012
6244(67607*2^242043+1)/3326372863Lelio R Paula06/2014
62452^242032+8772859Lelio R Paula03/2012
62462^241968-11059572840Enzo Doria05/2014
6247(10^72821+71)/972821Robert Price11/2014
62482^241852-6487572805Lelio R Paula05/2013
6249F(348307)/2056289086590809372776Donovan Johnson07/2007
6250(67*10^72772+23)/972773Ray Chandler11/2010


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 14 2018 21:45 (Time in France)

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